# -*- Mode: shell-script -*-
#############################################################################
##
#A  trans15.grp                  GAP group library           Alexander Hulpke
#A                                                              & John Conway
#A                                                              & Greg Butler
##
##
#Y  Copyright (C) 2018-2021, Carnegie Mellon University
#Y  All rights reserved.  See LICENSE for details.
#Y  
#Y  This work is based on GAP version 3, with some files from version 4.  GAP is
#Y  Copyright (C) (1987--2021) by the GAP Group (www.gap-system.org).
##
##  This file contains the transitive groups of degree 15.
##

TRANSGRP[15]:=[
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),"C(15) = 5[x]3"],
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),
(1,14)(2,13)(3,12)(4,11)(5,10)(6,9)(7,8),"D(15)"],
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),
(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),"D(5)[x]3"],
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"5[x]S(3)"],
[(1,9,10,3,14)(2,15,7,12,6)(4,5,11,13,8),
(1,4,10)(2,5,8)(3,7,11)(6,9,15)(12,14,13),"A_5(15)"],
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),
(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),
(1,2,4,8)(3,6,12,9)(5,10)(7,14,13,11),"F(5)[1/2]S(3)"],
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),
(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),
(1,11)(2,7)(4,14)(5,10)(8,13),"D(5)[x]S(3)"],
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),
(1,7,4,13)(2,14,8,11)(3,6,12,9),"F(5)[x]3"],
[(1,13,10,7,4)(2,5,8,11,14),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
"[5^2]3"],
[(1,9,10,3,14)(2,15,7,12,6)(4,5,11,13,8),
(1,4,10)(2,5,8)(3,7,11)(6,9,15)(12,14,13),
(1,4)(2,6)(3,7)(5,15)(8,9)(12,13),"S_5(15)"],
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),
(1,7,4,13)(2,14,8,11)(3,6,12,9),
(1,11)(2,7)(4,14)(5,10)(8,13),"F(5)[x]S(3)"],
[(1,13,10,7,4)(2,5,8,11,14),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),"[5^2:2]3"],
[(1,13,10,7,4)(2,5,8,11,14),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"[5^2]S(3)"],
[(1,13,10,7,4)(2,5,8,11,14),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,14)(2,13)(3,12)(4,11)(5,10)(6,9)(7,8),"5^2:2[1/2]S(3)"],
[(1,9,10,3,14)(2,15,7,12,6)(4,5,11,13,8),
(1,4,10)(2,5,8)(3,7,11)(6,9,15)(12,14,13),
(1,2,15)(4,5,6)(8,9,10)(12,13,14),"3A_5(15) = [3]A(5) = GL(2,4)"],
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),
(1,13)(2,14)(3,6)(4,7)(8,11)(9,12),"A(5)[x]3"],
[(1,13,10,7,4)(2,5,8,11,14),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),
(1,2,4,8)(3,6,12,9)(5,10)(7,14,13,11),"1/2[5^2:4]S(3)"],
[(1,13,10,7,4)(2,5,8,11,14),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),
(1,11)(2,7)(4,14)(5,10)(8,13),"[5^2:2]S(3)"],
[(1,13,10,7,4)(2,5,8,11,14),(1,7,4,13)(2,14,8,11)(3,6,12,9),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),"[5^2:4]3"],
[(1,9,10,3,14)(2,15,7,12,6)(4,5,11,13,8),
(1,5)(2,7)(3,6)(4,15)(8,9)(12,13),"A_6(15)"],
[(1,9,10,3,14)(2,15,7,12,6)(4,5,11,13,8),
(1,4,10)(2,5,8)(3,7,11)(6,9,15)(12,14,13),
(1,4)(2,6)(3,7)(5,15)(8,9)(12,13),
(1,2,15)(4,5,6)(8,9,10)(12,13,14),"3S_5(15)"],
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),
(1,14)(2,7)(4,11)(5,10)(6,9)(8,13),"S(5)[1/2]S(3)"],
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),
(1,13)(2,14)(3,6)(4,7)(8,11)(9,12),
(1,11)(2,7)(4,14)(5,10)(8,13),"A(5)[x]S(3)"],
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,4)(6,9)(11,14),"S(5)[x]3"],
[(3,6,9,12,15),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),"[5^3]3 = 5 wr 3"],
[(1,6,11)(4,14,9),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),"[3^4]5"],
[(1,13,10,7,4)(2,5,8,11,14),(1,7,4,13)(2,14,8,11)(3,6,12,9),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"[5^2:4]S(3)"],
[(1,9,10,3,14)(2,15,7,12,6)(4,5,11,13,8),
(1,5)(2,7)(3,6)(4,15)(8,9)(12,13),
(1,4)(2,6)(3,7)(5,15)(8,9)(12,13),"S_6(15)"],
[(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15),(1,4)(6,9)(11,14),
(1,11)(2,7)(4,14)(5,10)(8,13),"S(5)[x]S(3)"],
[(3,6,9,12,15),(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),"[5^3:2]3"],
[(3,6,9,12,15),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,14)(2,13)(3,12)(4,11)(5,10)(6,9)(7,8),"1/2[5^3:2]S(3)"],
[(3,6,9,12,15),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"[5^3]S(3)"],
[(1,6,11)(4,14,9),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"[3^4:2]5"],
[(1,6,11)(4,14,9),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),"[3^4]D(5)"],
[(1,6,11)(4,14,9),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,14)(2,13)(3,12)(4,11)(5,10)(6,9)(7,8),"1/2[3^4:2]D(5)"],
[(5,10,15),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),"[3^5]5 = 3 wr 5"],
[(3,6,9,12,15),(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,2,4,8)(3,6,12,9)(5,10)(7,14,13,11),"1/2[5^3:4]S(3)"],
[(3,6,9,12,15),(1,7,4,13)(2,14,8,11)(3,6,12,9),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),"[5^3:4]3"],
[(3,6,9,12,15),(1,4)(2,8)(7,13)(11,14),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),"[1/2.D(5)^3]3"],
[(3,6,9,12,15),(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"[5^3:2]S(3)"],
[(1,6,11)(4,14,9),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,7,4,13)(2,14,8,11)(3,6,12,9),"[3^4]F(5)"],
[(1,6,11)(4,14,9),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,2,4,8)(3,6,12,9)(5,10)(7,14,13,11),"1/2[3^4:2]F(5)"],
[(1,6,11)(4,14,9),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,11)(2,7)(4,14)(5,10)(8,13),
(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),"[3^4:2]D(5)"],
[(5,10,15),(1,11)(2,7)(4,14)(5,10)(8,13),
(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),"[3^5:2]5"],
[(5,10,15),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,14)(2,13)(3,12)(4,11)(5,10)(6,9)(7,8),"1/2[3^5:2]D(5)"],
[(5,10,15),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),"[3^5]D(5) = 3 wr D(5)"],
[(1,9,10,3,14)(2,15,7,12,6)(4,5,11,13,8),
(1,2,3)(5,6,7)(8,10,9)(12,14,13),"A_7(15)"],
[(3,6,9,12,15),(1,4)(2,8)(7,13)(11,14),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(3,12)(4,14)(5,10)(6,9)(8,13),"1/2[D(5)^3]S(3)"],
[(3,6,9,12,15),(1,7,4,13)(2,14,8,11)(3,6,12,9),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"[5^3:4]S(3)"],
[(3,6,9,12,15),(3,12)(6,9),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),"[D(5)^3]3 = D(5) wr 3"],
[(3,6,9,12,15),(1,4)(2,8)(7,13)(11,14),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"[1/2.D(5)^3]S(3)"],
[(1,6,11)(4,14,9),(1,11)(2,7)(4,14)(5,10)(8,13),
(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,7,4,13)(2,14,8,11)(3,6,12,9),"[3^4:2]F(5)"],
[(1,6,11)(4,14,9),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,13)(2,14)(3,6)(4,7)(8,11)(9,12),"[3^4]A(5)"],
[(5,10,15),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,2,4,8)(3,6,12,9)(5,10)(7,14,13,11),"1/2[3^5:2]F(5)"],
[(5,10,15),(1,11)(2,7)(4,14)(5,10)(8,13),
(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),"[3^5:2]D(5)"],
[(5,10,15),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,7,4,13)(2,14,8,11)(3,6,12,9),"[3^5]F(5) = 3 wr F(5)"],
[(3,6,9,12,15),(1,13,4,7)(2,14,8,11),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),"[1/4.F(5)^3]3"],
[(3,6,9,12,15),(3,12)(6,9),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,2,4,8)(3,6,12,9)(5,10)(7,14,13,11),"1/2[D(5)^3:2]S(3)"],
[(3,6,9,12,15),(3,12)(6,9),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,7,4,13)(2,14,8,11)(3,6,12,9),"[D(5)^3:2]3"],
[(3,6,9,12,15),(3,12)(6,9),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"[D(5)^3]S(3) = D(5) wr S(3)"],
[(1,6,11)(4,14,9),(1,11)(2,7)(4,14)(5,10)(8,13),
(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,13)(2,14)(3,6)(4,7)(8,11)(9,12),"[3^4:2]A(5)"],
[(1,6,11)(4,14,9),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,14)(2,7)(4,11)(5,10)(6,9)(8,13),"1/2[3^4:2]S(5)"],
[(1,6,11)(4,14,9),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,4)(6,9)(11,14),"[3^4]S(5)"],
[(5,10,15),(1,11)(2,7)(4,14)(5,10)(8,13),
(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,7,4,13)(2,14,8,11)(3,6,12,9),"[3^5:2]F(5)"],
[(3,6,9,12,15),(1,13,4,7)(2,14,8,11),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,14)(2,13)(3,12)(4,11)(5,10)(6,9)(7,8),"1/2[1/2.F(5)^3]S(3)"],
[(3,6,9,12,15),(1,13,4,7)(2,14,8,11),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"[1/4.F(5)^3]S(3)"],
[(3,6,9,12,15),(1,13,4,7)(2,14,8,11),(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),"[1/2.F(5)^3]3"],
[(3,6,9,12,15),(3,12)(6,9),(1,7,4,13)(2,14,8,11)(3,6,12,9),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"[D(5)^3:2]S(3)"],
[(5,10,15),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,13)(2,14)(3,6)(4,7)(8,11)(9,12),"[3^5]A(5) = 3 wr A(5)"],
[(1,6,11)(4,14,9),(1,11)(2,7)(4,14)(5,10)(8,13),
(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),(1,4)(6,9)(11,14),"[3^4:2]S(5)"],
[(5,10,15),(1,11)(4,14),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
"[1/2.S(3)^5]5"],
[(1,9,10,3,14)(2,15,7,12,6)(4,5,11,13,8),(1,2,15)(4,5,6)(8,9,10)(12,13,14),
(1,5)(2,7)(3,6)(4,15)(8,9)(12,13),"L(15) = A_8(15) = PSL(4,2)"],
[(3,6,9,12,15),(3,12)(6,9),(1,7,4,13)(2,14,8,11),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(3,6,12,9)(4,14)(5,10)(8,13),"1/2[F(5)^3]S(3)"],
[(3,6,9,12,15),(3,12)(6,9),(1,7,4,13)(2,14,8,11),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"[1/2.F(5)^3]S(3)"],
[(3,6,9,12,15),(3,6,12,9),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
"[F(5)^3]3 = F(5) wr 3"],
[(5,10,15),(1,11)(2,7)(4,14)(5,10)(8,13),
(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,13)(2,14)(3,6)(4,7)(8,11)(9,12),"[3^5:2]A(5)"],
[(5,10,15),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,14)(2,7)(4,11)(5,10)(6,9)(8,13),"1/2[3^5:2]S(5)"],
[(5,10,15),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,4)(6,9)(11,14),"[3^5]S(5) = 3 wr S(5)"],
[(5,10,15),(1,11)(4,14),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,4)(2,8)(3,12)(5,10)(6,9)(7,13)(11,14),"1/2[S(3)^5]D(5)"],
[(5,10,15),(1,11)(4,14),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),"[1/2.S(3)^5]D(5)"],
[(5,10,15),(5,10),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
"[S(3)^5]5 = S(3) wr 5"],
[(3,6,9,12,15),(3,6,12,9),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"[F(5)^3]S(3) = F(5) wr S(3)"],
[(5,10,15),(1,11)(2,7)(4,14)(5,10)(8,13),
(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),(1,4)(6,9)(11,14),"[3^5:2]S(5)"],
[(5,10,15),(1,11)(4,14),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),
(1,2,4,8)(3,6,12,9)(5,10)(7,14,13,11),"1/2[S(3)^5]F(5)"],
[(5,10,15),(1,11)(4,14),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,7,4,13)(2,14,8,11)(3,6,12,9),"[1/2.S(3)^5]F(5)"],
[(5,10,15),(5,10),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,4)(2,8)(3,12)(6,9)(7,13)(11,14),
"[S(3)^5]D(5) = S(3) wr D(5)"],
[(5,10,15),(5,10),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,7,4,13)(2,14,8,11)(3,6,12,9),"[S(3)^5]F(5) = S(3) wr F(5)"],
[(5,10,15),(1,11)(4,14),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,
 15),(1,13)(2,14)(3,6)(4,7)(8,11)(9,12),"[1/2.S(3)^5]A(5)"],
[(5,10,15),(1,11)(4,14),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,
 15),(1,4)(5,10)(6,9)(11,14),"1/2[S(3)^5]S(5)"],
[(5,10,15),(5,10),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,13)(2,14)(3,6)(4,7)(8,11)(9,12),
"[S(3)^5]A(5) = S(3) wr A(5)"],
[(5,10,15),(1,11)(4,14),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,4)(6,9)(11,14),"[1/2.S(3)^5]S(5)"],
[(3,6,9,12,15),(3,6)(9,12),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
"[A(5)^3]3 = A(5) wr 3"],
[(5,10,15),(5,10),(1,4,7,10,13)(2,5,8,11,14)(3,6,9,12,15),
(1,4)(6,9)(11,14),"[S(3)^5]S(5) = S(3) wr S(5)"],
[(3,6,9,12,15),(3,6)(9,12),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,14)(2,7)(4,11)(5,10)(6,9)(8,13),"1/2[A(5)^3:2]S(3)"],
[(3,6,9,12,15),(3,6)(9,12),(1,4)(6,9)(11,14),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),"[A(5)^3:2]3"],
[(3,6,9,12,15),(3,6)(9,12),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"[A(5)^3]S(3) = A(5) wr S(3)"],
[(3,6,9,12,15),(3,6)(9,12),(1,4)(6,9)(11,14),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"[A(5)^3:2]S(3)"],
[(3,6,9,12,15),(3,6)(9,12),(1,4)(11,14),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),"[1/2.S(5)^3]3"],
[(3,6,9,12,15),(3,6)(9,12),(1,4)(11,14),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(4,14)(5,10)(6,9)(8,13),"1/2[S(5)^3]S(3)"],
[(3,6,9,12,15),(3,6)(9,12),(1,4)(11,14),
(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"[1/2.S(5)^3]S(3)"],
[(3,6,9,12,15),(6,9),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
"[S(5)^3]3 = S(5) wr 3"],
[(3,6,9,12,15),(6,9),(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),
(1,11)(2,7)(4,14)(5,10)(8,13),"[S(5)^3]S(3) = S(5) wr S(3)"],
[(1,4,15),(2,14,15),(3,14,15),(4,14,15),(5,14,15),(6,14,15),(7,14,15),
(8,14,15),(9,14,15),(10,14,15),(11,14,15),(12,14,15),(13,14,15),"A(15)"],
[(1,15),(1,2),(2,3),(3,4),(4,5),(5,6),(6,7),(7,8),(8,9),(9,10),
(10,11),(11,12),(12,13),(13,14),"S(15)"]];

TRANSPROPERTIES[15]:=
[[15,0,1,1,[F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[6015],[13015],[5,29015]],
[30,0,1,-1,[F,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[-6015],[-6030],[-11030,-5015,5]],
[30,0,1,1,[F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[-1030,2015],[-5030,1015],[-11030,5,5015]],
[30,0,1,-1,
[F,F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,T],[-2015,-1030],
[-4030,-3015],[-11030,-5015,5]],
[60,0,1,1,[F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F],
[15,2030],[1015,2060],[5,2010,3060,5030]],
[60,0,1,1,
[F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T],[-60,-30,15],
[-2060,-30],[-5060,-2030,-5]],
[60,0,1,-1,[F,F,F,F,T,T,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,T],
[-2015,-1030],[-2030,1060],[-5030,-1015,5,3060]],
[60,0,1,-1,
[F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,T],[-60,-30,-15],
[-2060,-1015],[-5060,-2030,-5]],
[75,0,1,1,[F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F],
[75,1015],[1075,3015],[1015,3075,4025]],
[120,0,1,1,
[F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F],[15,30,60],
[-60,-30,120],[-1060,-10,-5,20,120,2060]],
[120,0,1,-1,
[F,F,F,F,T,T,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,T,F,F,F,T],[-60,-30,-15],
[-60,-30,120],[-1060,-30,-5,60,1120]],
[150,0,1,1,
[F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F],[75,1015],
[-1030,1075],[-1050,25,1015,3075]],
[150,0,1,-1,[F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F],
[-1015,-75],[-3015,-150],[-1150,-1015,4025]],
[150,0,1,-1,
[F,F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F],[-1015,-75],
[-1030,-150],[-1150,-1050,-1015,25],
[29,[1015],[1015],[1075]]],
[180,0,1,1,[F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[15,90],[180,1015],[5,30,60,180,1090]],
[180,0,1,1,
[F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T],[15,30,60],
[1015,2060],[5,30,1090,3060]],
[300,0,1,1,
[F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F],[-75,-30],
[-150,-60],[-1150,-100,-30,25]],
[300,0,1,-1,[F,F,F,F,T,T,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F],
[-1015,-75],[-1030,-150],[-1150,-1050,-1015,25],
[29,[-30],[-30],[1075]]],
[300,0,1,-1,[F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F],
[-30,75],[-60,1075],[-1150,-100,-30,25]],
[360,1,1,1,
[F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F],[45,60],
[90,120],[15,20,60,1180],
[4,[30,45,90,360,1060,3180]]],
[360,0,1,1,[F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[15,90],[-180,-30],[-180,-60,-30,-5,180]],
[360,0,1,1,
[F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T],[-60,-30,15],
[-60,-30,120],[-1060,-30,-5,120,180]],
[360,0,1,-1,
[F,F,F,F,T,T,T,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,T],[-15,30,60],
[-30,60,120],[5,30,120,180,1060]],
[360,0,1,-1,[F,F,T,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,T,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,T],
[-60,-30,-15],[-2060,-1015],[-3060,-30,-5,1090]],
[375,0,1,1,[F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[75,1015],[1075,3015],[125,1015,3075]],
[405,0,1,1,
[F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
F,F,F,T,F,F,F,T,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F],
[15,1045],[1015,3045],[5,1135,3045],
[10154,[[2001,3003],[2001,3003],[2001,3003],
[2001,3003],[2009,5003],[2009,5003],
[1027,8009],[1027,8009],[1027,8009],
[1027,8009],[1027,8009],[1027,8009],
[14027]]]],
[600,0,1,-1,[F,F,F,F,T,T,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,
F,F,F,T,F,F,F,F,
F,F,F,T,F,F,F,F],
[-75,-30],[-150,-60],[-100,-30,25,300]],
[720,1,1,1,
[F,F,F,T,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F],[45,60],
[90,120],[15,20,60,1180],
[4,[-90,-30,45,1060,1180,1360]]],
[720,0,1,-1,
[F,F,T,F,T,T,T,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,T,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
T,T,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,
F,F,F,F,F,F,F,T,
F,F,F,T],[-60,-30,-15],
[-60,-30,120],[-1060,-30,-5,120,180]],
[750,0,1,1,[F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[75,1015],[-1030,1075],[125,1015,3075],
[9302,[-1150,-1030,4015],[-1150,-1030,4015]]],
[750,0,1,-1,
[F,F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T],[-1015,-75],
[-1030,-150],[-1150,-1015,125],
[29,[1015],[1015],[1075]]],
[750,0,1,-1,[F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,T],
[-1015,-75],[-3015,-150],[-1150,-1015,125]],
[810,0,1,-1,
[F,F,F,F,T,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,T,F,F,F,T,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F],[-15,1045],
[-30,3045],[-1135,5,3045],
[10154,[[-3003,-2,1],[-3003,-2,1],[-3003,-2,1],
[-3003,-2,1],[-1006,-1003,2009],
[-1006,-1003,2009],[-2018,-1027,2009],
[-2018,-1027,2009],[-2018,-1027,2009],
[-2018,-1027,2009],[-2018,-1027,2009],
[-2018,-1027,2009],[-4054,-4027]]],
[29,[1015],[45],[45],[45],[45]]],
[810,0,1,1,
[F,F,F,F,F,T,F,F,F,
F,F,F,F,F,T,F,F,
F,F,T,F,F,F,T,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F],[-1045,15],
[-1090,1015],[-1135,-1090,5],
[10154,[[-3006,-2002],[-3006,-2002],
[-2006,-18,-9],[-2006,-18,-9],
[-2018,-2009,-54],[-2018,-2009,-54],
[-8018,-1054],[-8018,-1054],[-5054,2027]]]
],
[810,0,1,-1,[F,F,F,F,F,F,T,
F,F,F,F,F,F,F,T,
F,F,F,F,T,F,F,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F],
[-1045,-15],[-1090,-30],[-1090,5,1135],
[10154,[[-3006,-2002],[-3006,-2002],
[-2006,-18,-9],[-2006,-18,-9],
[-3018,-54,-9],[-3018,-54,-9],
[-8018,-1054],[-8018,-1054],[-6054,-27]]],
[29,[1015],[1045],[1045]]],
[1215,0,1,1,[F,F,F,F,F,F,F,
T,F,F,F,F,F,F,T,
F,F,F,F,T,F,F,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[15,1045],[1015,3045],[5,1135,3045],
[10154,[[2001,3003],[2001,3003],[2001,3003],
[2001,3003],[2009,5003],[2009,5003],
[1027,8009],[1027,8009],[1027,8009],
[1027,8009],[1027,8009],[1027,8009],
[81,11027]]]],
[1500,0,1,1,[F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[-75,-30],[-150,-60],[-1150,-125,-30]],
[1500,0,1,-1,
[F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,T],[-30,75],
[-60,1075],[-1150,-125,-30],
[4,[-3150,-750,-15]]],
[1500,0,1,1,[F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[75,1015],[1030,1075],[125,1015,3075]],
[1500,0,1,-1,
[F,F,F,F,T,T,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,T,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,T],[-1015,-75],
[-1030,-150],[-1150,-1015,125],
[29,[-30],[-30],[1075]],
[9302,[-4015,-1150,-1030],[-4015,-1150,-1030]]],
[1620,0,1,-1,
[F,F,F,F,F,T,F,F,F,
F,F,F,F,F,T,F,F,
F,F,T,F,F,F,T,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F],[-15,90],
[-1015,-180],[-180,-5,270],
[10154,[[-3012,-2004],[-2012,-36,18],
[-2036,-108,2018],[-2108,-2027],
[-8036,-1108]]],
[4,[-540,-60,90,270,405]]],
[1620,0,1,1,[F,F,F,F,F,T,F,
F,F,F,F,F,F,F,T,
F,F,F,F,T,F,F,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F],
[15,90],[-180,-30],[-180,-5,270],
[10154,[[-3012,-2004],[-2012,-36,18],
[-2036,-108,2018],[-2108,-54,27],
[-8036,-1108]]],[4,[-540,-60,90,270,405]]
,[9302,[-180,-30,1090,2015]]],
[1620,0,1,-1,[F,F,F,F,T,T,T,
F,F,F,F,F,F,F,T,
F,F,F,F,T,F,F,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
T,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,T,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F],
[-1045,-15],[-1090,-30],[-1135,-1090,5],
[10154,[[-3006,-2,4],[-3006,-2,4],
[-18,-9,-6,12],[-18,-9,-6,12],
[-1018,-54,-9,36],[-1018,-54,-9,36],
[-2018,-1054,2036],[-2018,-1054,2036],
[-2054,-27,1108]]],
[29,[1015],[-90],[-90]]],
[2430,0,1,-1,[F,F,F,F,T,F,F,
T,F,F,F,F,F,F,T,
F,F,F,F,T,F,F,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,T],
[-15,1045],[-30,3045],[-1135,5,3045],
[10154,[[-3003,-2,1],[-3003,-2,1],[-3003,-2,1],
[-3003,-2,1],[-1006,-1003,2009],
[-1006,-1003,2009],[-2018,-1027,2009],
[-2018,-1027,2009],[-2018,-1027,2009],
[-2018,-1027,2009],[-2018,-1027,2009],
[-2018,-1027,2009],[-3054,-3027,81]]],
[29,[1015],[45],[45],[45],[45]]],
[2430,0,1,-1,
[F,F,F,F,F,F,T,T,F,
F,F,F,F,F,T,F,F,
F,F,T,F,F,F,T,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T],[-1045,-15],
[-1090,-30],[-1090,5,1135],
[10154,[[-3006,-2002],[-3006,-2002],
[-2006,-18,-9],[-2006,-18,-9],
[-3018,-54,-9],[-3018,-54,-9],
[-8018,-1054],[-8018,-1054],[-5054,81]]],
[29,[1015],[1045],[1045]]],
[2430,0,1,1,[F,F,F,F,F,T,F,
T,F,F,F,F,F,T,T,F,
F,F,F,T,F,F,F,T,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,T,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T],
[-1045,15],[-1090,1015],[-1135,-1090,5],
[10154,[[-3006,-2002],[-3006,-2002],
[-2006,-18,-9],[-2006,-18,-9],
[-2018,-2009,-54],[-2018,-2009,-54],
[-8018,-1054],[-8018,-1054],[-5054,81]]]],
[2520,1,2,1,
[F,F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F],[105],
[210],[35,420],[4,[105,210,420,630]]],
[3000,0,1,-1,
[F,F,F,T,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,T,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,T,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T],[-1015,-75],
[-1030,-150],[-1150,-1015,125],
[29,[30],[30],[1075]]],
[3000,0,1,-1,[F,F,F,F,T,T,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,T,F,T,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,T,F,
F,F,T,F,F,F,F,F,
F,F,T,F,F,F,T],
[-75,-30],[-150,-60],[-125,-30,300],
[20309,[[-9002,1020],[-1010,-50,3020]]],
[4,[-1150,-750,-15,300]]],
[3000,0,1,1,[F,T,F,T,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,T,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[75,1015],[-1030,1075],[125,1015,3075],
[9302,[-1030,300,4015],[-1030,300,4015]]],
[3000,0,1,-1,
[F,F,F,T,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,T,F,F,F,
T,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,T],[-1015,-75],
[-150,1030],[-1150,-1015,125]],
[3240,0,1,-1,[F,F,F,F,T,T,T,
F,F,F,F,F,F,F,T,
F,F,F,F,T,F,F,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
T,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,T,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,T,T,F,F,F,F],
[-15,90],[-180,-30],[-180,-5,270],
[10154,[[-3012,-4,8],[-36,-12,18,24],
[-108,-36,18,36,72],[-108,-54,-27,216],
[-2036,-1108,2072]]],
[4,[-540,-60,90,270,405]],
[9302,[-2015,-180,-30,180]]],
[4860,0,1,1,[F,F,F,F,F,T,F,
F,F,F,F,F,F,F,T,
F,F,F,F,T,F,F,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F],
[15,90],[180,1015],[5,180,270],
[10154,[[12,36,2004],[54,2012],[2027,2108],
[324,2054,2108]]]],
[4860,0,1,1,[F,F,F,F,F,T,F,
T,F,F,F,F,F,T,T,F,
F,F,F,T,F,F,F,T,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,T,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,T],
[15,90],[-180,-30],[-180,-5,270],
[10154,[[-3012,-2004],[-2012,-36,18],
[-2036,-108,2018],[-2108,-81],[-8036,-1108]
]],[4,[-540,-60,90,270,405]],
[9302,[-180,-30,1090,2015]]],
[4860,0,1,-1,[F,F,F,F,T,T,T,
T,F,F,F,F,F,T,T,F,
F,F,F,T,F,F,F,T,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,T,T,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,T,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,T],[-1045,-15],
[-1090,-30],[-1135,-1090,5],
[10154,[[-3006,-2,4],[-3006,-2,4],
[-18,-9,-6,12],[-18,-9,-6,12],
[-1018,-54,-9,36],[-1018,-54,-9,36],
[-2018,-1054,2036],[-2018,-1054,2036],
[-1054,81,1108]]],
[29,[1015],[-90],[-90]]],
[4860,0,1,-1,[F,F,F,F,F,T,F,
T,F,F,F,F,F,T,T,F,
F,F,F,T,F,F,F,T,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,T,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,T,F,F,F,T],
[-15,90],[-1015,-180],[-180,-5,270],
[10154,[[-3012,-2004],[-2012,-36,18],
[-2036,-108,2018],[-2108,-81],[-8036,-1108]
]],[4,[-540,-60,90,270,405]]],
[6000,0,1,1,
[F,F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,T,F,F,F,F,
F,F,F,F,T,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,T,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T],[30,75],
[60,1075],[30,125,1150],
[2302,[15,60,300,1030]]],
[6000,0,1,1,[F,T,F,T,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,T,F,T,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,T,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,T],
[-75,-30],[-150,-60],[-1150,-125,-30]],
[6000,0,1,-1,
[F,T,F,T,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,T,F,T,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,T,F,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,
F,F,F,T],[-30,75],[-60,1075],
[-1150,-125,-30],[4,[-3150,-750,-15]]],
[6000,0,1,-1,
[F,T,F,T,T,T,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,T,F,F,F,
F,F,F,F,T,F,T,F,T,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,T,F,T,F,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,T,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,T],[-1015,-75],[-1030,-150],
[-1150,-1015,125],[29,[-30],[-30],[1075]],
[9302,[-4015,-1030,-300],[-4015,-1030,-300]]],
[9720,0,1,-1,
[F,F,F,F,T,T,T,F,F,
F,F,F,F,F,T,F,F,
F,F,T,F,F,F,T,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,T,F,F,T,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,
T,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,T,F,F,F,
F,F,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F],[-15,90],[-30,180],
[5,180,270],
[10154,[[4,8,12,36],[12,24,54],[-54,-27,108,
216],[54,216,324,1108]]],
[29,[1015],[180]]],
[9720,0,1,1,[F,F,F,F,F,T,F,
F,F,F,F,F,F,F,T,
F,F,F,F,T,F,F,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,T,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F],
[15,90],[-180,-30],[-180,-5,270],
[4,[-810,-60,90,405]],
[10154,[[-36,-12,-4,8],[-54,-12,24],
[-108,-54,27,216],[-324,-108,-54,108,216]]
],[9302,[-180,-30,180,2015]]],
[9720,0,1,-1,[F,F,T,F,F,T,F,
F,F,F,F,F,F,F,T,
F,F,T,F,T,F,F,T,T,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
T,F,F,T,T,F,T,F,F,
F,F,F,F,F,F,F,F,
F,T,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,T,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F],[-15,90],
[-1015,-180],[-180,-5,270],
[4,[-810,-60,90,405]],
[10154,[[-2004,-36,-12],[-2012,-54],
[-2108,-2027],[-2108,-2054,-324]]]],
[9720,0,1,-1,
[F,F,F,F,T,T,T,T,F,
F,F,F,F,T,T,F,F,
F,F,T,F,F,F,T,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,T,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,
F,F,F,T,T,F,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,T,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,T,T,T,F,F,F,
T],[-15,90],[-180,-30],[-180,-5,270],
[10154,
[[-3012,-4,8],[-36,-12,18,24],[-108,-36,18,
36,72],[-108,-81,216],
[-2036,-1108,2072]]],
[4,[-540,-60,90,270,405]],
[9302,[-2015,-180,-30,180]]],
[12000,0,1,-1,[F,F,F,T,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,T,T,F,F,F,
F,F,F,F,F,T,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,T,T,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T],[-75,30],
[-150,60],[30,125,300],
[2302,[-300,-15,60,1030]]],
[12000,0,1,-1,[F,F,F,T,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,T,T,F,F,
F,F,F,F,F,T,F,F,
F,T,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,T,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,T],
[-75,30],[-150,60],[30,125,300],
[2302,[-300,-15,60,1030]]],
[12000,0,1,1,[F,T,F,T,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,T,F,F,
F,F,F,F,F,F,T,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,T,F,T,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T],
[30,75],[60,1075],[30,125,1150],
[2302,[15,60,300,1030]]],
[12000,0,1,-1,[F,T,F,T,T,T,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,T,F,T,F,
F,F,F,T,T,F,T,F,T,
F,T,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,T,F,T,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,T,F,F,T,
T,F,F,F,F,F,F,F,
T,F,F,F,T],[-75,-30],
[-150,-60],[-125,-30,300],
[20309,[[-9002,-1020],[-1010,-50,3020]]],
[4,[-1150,-750,-15,300]]],
[14580,0,1,1,[F,F,F,F,F,T,F,
T,F,F,F,F,F,T,T,F,
F,F,F,T,F,F,F,T,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,T,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,T,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T],[15,90],
[180,1015],[5,180,270],
[10154,[[12,36,2004],[54,2012],[81,2108],
[324,2054,2108]]]],
[19440,0,1,-1,[F,F,T,F,T,T,T,
F,F,F,F,F,F,F,T,
F,F,T,F,T,F,F,T,T,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,T,T,T,
F,T,T,T,F,T,F,F,F,
F,F,F,F,F,F,F,F,
T,T,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,T,F,F,F,T,
F,F,F,F,F,F,T,F,
F,F,F,F,F,T,T,F,
F,F,F],[-15,90],[-180,-30],
[-180,-5,270],[4,[-810,-60,90,405]],
[10154,[[-36,-12,-4,8],[-54,-12,24],
[-108,-54,-27,216],[-324,-108,-54,108,216]
]],[9302,[-2015,-180,-30,180]]],
[19440,0,1,1,
[F,T,F,T,F,F,F,T,F,
T,F,T,F,F,T,F,T,F,
F,T,F,T,F,T,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T],[15,1045],[30,3045],
[5,1135,3045]],
[20160,1,2,1,[F,F,F,T,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T],
[105],[210],[35,420],[4,[105,420,840]]],
[24000,0,1,1,
[F,T,F,T,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,T,F,T,F,F,F,F,
F,F,T,F,T,F,T,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,T,F,T,F,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,T,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,T],[-75,-30],[-150,-60],
[-125,-30,300],[2302,[-1030,-300,-60,15]]],
[24000,0,1,-1,
[F,T,F,T,T,T,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,T,T,T,F,F,F,F,
F,F,F,T,F,T,F,T,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,
T,T,F,T,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,T,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,T],[-75,30],[-150,60],[30,125,300],
[2302,[-300,-15,60,1030]]],
[24000,0,1,-1,[F,T,F,T,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,T,F,T,F,T,F,
F,F,F,F,F,F,F,F,
F,F,T,F,T,F,F,F,
F,F,T,F,F,T,F,T,F,
T,F,F,F,F,F,F,F,
F,F,T,F,T,F,F,F,
F,T,F,T,F,T,F,F,T,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,T],[-30,75],
[-60,1075],[-1150,-125,-30],
[4,[-1150,-750,-15,300]],
[2302,[-1030,-60,-15,300]]],
[29160,0,1,-1,[F,F,F,F,T,T,T,
T,F,F,F,F,F,T,T,F,
F,F,F,T,F,F,F,T,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,T,T,F,
F,T,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,T,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,
F,F,F,T,F,T,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,T],[-15,90],
[-30,180],[5,180,270],
[10154,[[4,8,12,36],[12,24,54],[81,108,216],
[54,216,324,1108]]],[29,[1015],[180]]],
[29160,0,1,1,
[F,F,F,F,F,T,F,T,F,
F,F,F,F,T,T,F,F,
F,F,T,F,F,F,T,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,T,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,
F,F,F,T,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,
F,F,F,F,T],[15,90],
[-180,-30],[-180,-5,270],[4,[-810,-60,90,405]],
[10154,
[[-36,-12,-4,8],[-54,-12,24],[-108,-81,216],
[-324,-108,-54,108,216]]],
[9302,[-180,-30,180,2015]]],
[29160,0,1,-1,[F,F,T,F,F,T,F,
T,F,F,T,F,F,T,T,F,
F,T,F,T,F,F,T,T,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,T,F,F,T,F,T,F,
F,T,T,F,T,F,F,F,F,
F,F,F,F,F,F,F,T,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
F,T,T,F,T,F,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,T,F,
F,F,T],[-15,90],[-1015,-180],
[-180,-5,270],[4,[-810,-60,90,405]],
[10154,[[-2004,-36,-12],[-2012,-54],[-2108,-81],
[-2108,-2054,-324]]]],
[38880,0,1,-1,[F,T,F,T,F,F,T,
T,F,T,F,T,F,F,T,F,
T,F,F,T,F,T,F,T,F,
T,F,F,F,F,T,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,T,F,
F,F,F,F,F,F,F,T,
F,F,T,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T],[-1045,-15],
[-1090,-30],[-1090,5,1135],
[29,[30],[1045],[1045]]],
[38880,0,1,1,[F,T,F,T,F,T,F,
T,F,T,F,T,F,T,T,F,
T,F,F,T,F,T,F,T,F,
T,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,T,F,F,
F,F,T,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,T,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T],[-1045,15],
[-1090,30],[-1135,-1090,5]],
[38880,0,1,-1,[T,T,T,T,T,F,F,
T,T,T,T,T,F,F,T,T,
T,T,F,T,T,T,F,T,T,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,T],[-15,1045],
[-30,3045],[-1135,5,3045],
[29,[30],[45],[45],[45],[45]]],
[48000,0,1,-1,
[F,T,F,T,T,T,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,T,F,T,F,T,T,F,F,
F,F,F,F,F,F,F,F,
T,T,T,T,F,F,F,F,T,
T,F,T,F,T,F,T,T,F,
F,F,F,F,F,F,F,T,
F,T,F,F,F,F,T,T,T,
F,T,F,F,T,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,T,
F,F,F,F,F,T,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
T,F,F,T,T,F,F,F,F,
F,F,F,T,F,F,F,T],
[-75,-30],[-150,-60],[-125,-30,300],
[4,[-750,-300,-15,300]],
[2302,[-1030,-300,-60,-15]]],
[58320,0,1,-1,[F,F,T,F,T,T,T,
T,F,F,T,F,F,T,T,F,
F,T,F,T,F,F,T,T,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,T,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,T,F,F,T,T,T,F,T,
T,T,F,T,F,F,F,F,F,
F,F,F,F,F,F,T,T,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,T,T,
F,T,F,F,F,T,F,F,
F,F,F,F,T,F,F,F,
F,F,T,T,T,F,F,F,T],
[-15,90],[-180,-30],[-180,-5,270],
[4,[-810,-60,90,405]],
[10154,[[-36,-12,-4,8],[-54,-12,24],
[-108,-81,216],[-324,-108,-54,108,216]]],
[9302,[-2015,-180,-30,180]]],
[77760,0,1,1,[F,T,F,T,F,T,F,
T,F,T,F,T,F,T,T,F,
T,F,F,T,F,T,F,T,F,
T,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,T,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,T,F,F,
F,F,T,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,T,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,T],[15,90],
[-180,-30],[-180,-5,270],[9302,[-360,-30,2015]],
[4,[-540,-60,90,270,405]]],
[77760,0,1,-1,[F,T,F,T,F,T,F,
T,F,T,F,T,F,T,T,F,
T,F,F,T,F,T,F,T,F,
T,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,T,
F,T,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,T,F,F,
F,F,T,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,T,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,
F,T,F,F,F,T],[-15,90],
[-180,30],[-180,-5,270],
[4,[-540,-60,90,270,405]]],
[77760,0,1,-1,[T,T,T,T,T,T,T,
T,T,T,T,T,F,T,T,T,
T,T,F,T,T,T,F,T,T,
T,F,F,F,F,T,T,F,F,
F,F,T,F,F,F,F,F,
F,F,T,T,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,
F,F,F,T,T,F,F,F,T,
F,F,F,F,T,T,F,T,F,
F,F,F,F,F,T,T,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
T],[-1045,-15],[-1090,-30],[-1135,-1090,5],
[29,[30],[-90],[-90]]],
[155520,0,1,-1,[T,T,T,T,T,T,T,
T,T,T,T,T,F,T,T,T,
T,T,F,T,T,T,F,T,T,
T,F,F,F,F,T,T,F,F,
F,F,T,F,F,F,F,F,
F,F,T,T,F,F,T,F,T,
T,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,
F,F,F,T,T,F,F,F,T,
F,F,F,F,T,T,F,T,F,
F,F,F,F,F,T,T,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,T,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
F,T,T,T,F,F,F,T],
[-15,90],[-180,-30],[-180,-5,270],
[9302,[-2015,-360,-30]],
[4,[-540,-60,90,270,405]]],
[233280,0,1,1,[F,T,F,T,F,T,F,
T,F,T,F,T,F,T,T,F,
T,F,F,T,F,T,F,T,F,
T,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,T,F,F,T,
F,T,F,T,F,F,F,T,F,
F,F,F,F,F,F,F,T,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
T,F,T,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T],[15,90],[30,180],
[5,180,270]],
[466560,0,1,1,[F,T,F,T,F,T,F,
T,F,T,F,T,F,T,T,F,
T,F,T,T,F,T,F,T,F,
T,F,T,F,T,F,T,F,T,
F,T,F,F,T,F,F,T,F,
F,T,F,F,F,T,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
T,F,T,F,F,T,F,T,F,
T,F,F,F,T,F,F,F,
F,F,F,F,F,T,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,T,
F,F,F,F,T,F,T,F,T,
F,T,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,T
],[15,90],[-180,-30],[-180,-5,270],
[4,[-810,-60,90,405]],[9302,[-360,-30,2015]]],
[466560,0,1,-1,
[T,T,T,T,T,T,T,T,T,T,
T,T,F,T,T,T,T,T,F,
T,T,T,F,T,T,T,F,F,
F,F,T,T,F,F,F,F,T,
F,F,F,F,F,F,F,T,
T,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,T,T,T,T,T,T,T,T,
T,F,T,T,F,T,F,F,F,
F,F,F,T,T,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,T,T,F,T,T,T,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,T],[-15,90],
[-30,180],[5,180,270],[29,[30],[180]]],
[466560,0,1,-1,
[F,T,T,T,T,T,F,T,F,
T,T,T,T,T,T,F,T,T,
F,T,F,T,T,T,F,T,F,
F,T,F,T,T,F,F,T,F,
F,F,F,T,F,F,F,F,
T,F,F,F,T,F,T,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,T,F,T,
T,F,T,T,T,T,T,T,T,
F,F,T,F,T,F,F,F,
F,F,F,T,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,T,F,T,T,T,F,T,
F,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,T,F,F,F,T],
[-15,90],[-180,30],[-180,-5,270],
[4,[-810,-60,90,405]]],
[648000,0,1,1,[F,T,F,T,F,T,F,
T,F,T,F,T,F,F,T,F,
T,F,F,T,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,T,
F,T,F,T,F,T,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,T,F,T,T,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T],[30,75],
[60,1075],[30,125,1150],[10151,[[1,4,1005]]]]
,
[933120,0,1,-1,[T,T,T,T,T,T,T,T
,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,
F,T,T,T,T,T,F,T,T,
T,T,F,T,T,F,T,F,F,
T,T,F,F,T,F,T,T,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,T,T,T,
T,T,T,T,T,T,T,T,T,
F,T,T,F,T,F,F,F,F,
F,F,T,T,T,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,T,T,F,F,F,F,T,
T,T,T,T,T,T,F,T,F,
T,F,F,F,F,F,F,T,
F,F,F,F,F,T,T,T,F,
F,F,T],[-15,90],[-180,-30],
[-180,-5,270],[4,[-810,-60,90,405]],
[9302,[-2015,-360,-30]]],
[1296000,0,1,1,[F,T,F,T,F,T,F,
T,F,T,F,T,F,T,T,F,
T,F,F,T,F,F,F,F,
F,T,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
T,F,F,T,F,T,F,T,F,
T,F,T,F,T,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,T,T,F,F,T,
F,F,F,T,F,F,F,F,
T,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,T,F,F,T,T,F,F,
F,F,F,F,F,F,F,F,
F,F,T],[-75,-30],[-150,-60],
[-125,-30,300],
[10152,[[-4,6,20],[-10,25,40]]]],
[1296000,0,1,-1,
[F,T,T,T,F,T,F,T,F,
T,T,T,F,F,T,F,T,T,
F,T,F,F,T,F,F,T,F,
F,T,F,F,F,F,F,T,
F,F,F,F,T,F,F,F,
T,F,F,F,T,F,F,T,F,
F,T,F,T,F,T,F,T,F,
T,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,T,
F,T,T,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,F,F,F,F,
F,F,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,T
],[-30,75],[-60,1075],[-1150,-125,-30],
[4,[-1150,-750,-15,300]],
[10152,[[-1010,-4,6],[-1020,-1005,25]]]],
[1296000,0,1,-1,
[F,T,F,T,T,T,T,T,F,
T,F,T,T,F,T,F,T,F,
F,T,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,T,F,T,F,F,F,
F,F,T,F,T,F,T,T,T,
F,T,F,T,F,F,F,F,
F,F,F,F,F,F,F,T,
T,F,T,T,F,F,T,F,F,
T,F,T,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,F,T,F,T,
T,F,F,T,F,F,F,F,
F,F,F,F,F,F,F,T],
[-75,30],[-150,60],[30,125,300],
[10151,[[-10,1,4]]]],
[2592000,0,1,-1,[F,T,T,T,T,T,T,
T,F,T,T,T,T,T,T,F,
T,T,F,T,F,F,T,F,F,
T,F,F,T,F,F,T,F,F,
T,F,F,F,F,T,F,F,
F,T,T,T,F,T,T,F,T,
T,F,T,F,T,F,T,T,T,
F,T,F,T,F,F,F,F,
F,F,F,F,F,F,F,T,
T,F,T,T,F,F,T,F,F,
T,T,T,F,F,T,T,F,F,
T,F,F,T,F,F,F,F,
F,T,F,F,F,F,T,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,T,T,T,T,
T,T,T,T,F,F,F,F,F,
F,F,T,F,F,F,T],
[-75,-30],[-150,-60],[-125,-30,300],
[4,[-750,-300,-15,300]],
[10152,[[-4,6,20],[-10,25,40]]]],
[2592000,0,1,1,
[F,T,F,T,F,T,F,T,F,
T,F,T,F,F,T,F,T,F,
T,T,F,T,F,F,F,T,F,
T,F,T,F,F,F,T,F,T,
F,F,T,F,F,F,T,F,T,
F,T,F,F,F,F,F,F,
T,F,T,F,T,F,T,F,T,
F,T,F,T,F,F,T,F,F,
F,T,F,T,F,T,F,T,T,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,T],
[30,75],[60,1075],[30,125,1150],
[2302,[45,90,300]],[10151,[[-1005,-4,1]]]],
[5184000,0,1,1,
[F,T,F,T,F,T,F,T,F,
T,F,T,F,T,T,F,T,F,
T,T,F,T,F,F,F,T,F,
T,F,T,F,T,F,T,F,T,
F,F,T,F,F,F,T,F,T,
F,T,F,T,F,F,T,F,T,
F,T,F,T,F,T,F,T,F,
T,F,T,F,F,T,F,T,F,
T,F,T,F,T,F,T,T,F,
F,T,F,F,F,T,F,F,
F,F,T,F,F,F,T,F,T,
T,F,F,F,F,F,F,T,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,T,F,T,F,F,F,
F,F,F,T,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,T,F,F,T,T,F,F,
F,F,F,F,F,F,F,F,
F,F,T],[-75,-30],[-150,-60],
[-125,-30,300],[2302,[-300,-45,90]],
[10152,[[-20,-4,6],[-25,-10,40]]]],
[5184000,0,1,-1,
[F,T,F,T,T,T,T,T,F,
T,F,T,T,F,T,F,T,F,
T,T,F,T,F,F,F,T,F,
T,F,T,T,F,F,T,F,T,
T,F,T,F,F,F,T,T,T,
T,T,T,F,F,F,F,F,T,
F,T,F,T,T,T,F,T,F,
T,F,T,F,F,T,F,F,F,
T,F,T,T,T,F,T,T,F,
F,T,F,F,T,F,T,F,F,
T,F,F,F,F,F,T,F,
F,T,T,F,F,T,F,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,T,F,F,F,T,F,F,T,
F,F,F,F,F,F,F,F,
F,F,F,T,F,F,F,F,
T,F,T,T,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,T],[-75,30],[-150,60],[30,125,300],
[2302,[-300,-45,90]],[10151,[[-10,-4,1]]]],
[5184000,0,1,-1,
[T,T,T,T,T,T,F,T,T,T,
T,T,T,F,T,T,T,T,T,
T,T,T,T,F,F,T,T,T,
T,T,T,F,T,T,T,T,F,
T,T,T,F,F,T,T,T,F,
T,T,F,F,T,F,F,T,T,
T,T,T,F,T,T,T,T,T,
T,T,F,T,T,T,F,T,T,
F,T,F,T,T,T,T,T,T,
T,F,F,F,F,F,F,F,
F,F,F,F,T,F,F,F,
F,F,F,F,F,F,F,F,
F,F,T,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,T,F,F,
F,T,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
T,F,F,F,T],[-30,75],
[-60,1075],[-1150,-125,-30],
[4,[-1150,-750,-15,300]],[2302,[45,90,300]],
[10152,[[-1010,-4,6],[-1020,-1005,-25]]]],
[10368000,0,1,-1,
[T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,F,F,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,F,F,T,T,T,T,T,T,
T,F,T,T,F,T,T,T,T,
T,T,T,T,T,T,T,T,T,
F,T,T,T,T,T,T,F,T,
T,T,T,T,T,T,T,T,F,
F,T,T,T,F,F,T,T,F,
F,T,T,T,T,T,T,T,F,
F,T,F,T,F,F,T,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,F,F,F,F,
F,F,F,F,T,T,T,F,T,
T,F,F,T,F,F,T,F,F,
F,F,F,F,F,F,T,F,
F,F,T,T,T,T,T,T,T,
T,F,F,F,F,F,F,F,
T,F,F,F,T],[-75,-30],
[-150,-60],[-125,-30,300],
[4,[-750,-300,-15,300]],[2302,[-300,-45,90]],
[10152,[[-20,-4,6],[-25,-10,40]]]],
[653837184000,1,13,1,
[F,T,F,T,F,T,F,T,F,
T,F,T,F,T,T,F,T,F,
T,T,F,T,F,T,F,T,F,
T,F,T,F,T,F,T,F,T,
F,F,T,F,F,T,T,F,T,
F,T,F,T,T,F,T,F,T,
F,T,F,T,F,T,F,T,F,
T,F,T,T,F,T,F,T,F,
T,F,T,F,T,F,T,T,F,
F,T,F,T,F,T,F,F,T,
F,T,F,T,F,T,F,T,T,
F,F,F,T,F,F,T,T,F,
T,T,F,T,F,T,T,F,T,
T,F,F,T,F,F,T,T,F,
T,F,T,T,F,T,F,T,F,
T,F,F,T,F,T,F,T,T,
F,T,F,T,F,T,F,T,F,
T,T,F,F,T,F,F,T,T,
F,T,F,T,T,F,F,T,F,
T,F,F,T],[105],[210],[455]],
[1307674368000,1,15,-1,
[T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T,T,T,T,T,T,
T,T,T,T,T],[-105],[-210],[455]
]];
